BPS Domain Walls and Vacuum Structure of N=1 Supergravity Coupled to a Chiral Multiplet

Abstract

We study BPS domain walls of N=1 supergravity coupled to a chiral multiplet and their Lorentz invariant vacua which can be viewed as critical points of BPS equations and the scalar potential. Supersymmetry further implies that gradient flows of BPS equations controlled by a holomorphic superpotential and the Kaehler geometry are unstable near local maximum of the scalar potential, whereas they are stable around local minimum and saddles of the scalar potential. However, the analysis using RG flows shows that such gradient flows do not always exist particularly in infrared region.

arXiv comment17 pages, a typo corrected in section 2

References in corpus (8)

• Large N Field Theories, String Theory and Gravity
• Gravitational Stability and Renormalization-Group Flow
• Supergravity Domain Walls
• Static Domain Walls in N=1 Supergravity
• Hypermultiplets, domain walls and supersymmetric attractors
• Domain walls, near-BPS bubbles, and probabilities in the landscape
• Dilaton Domain Walls and Dynamical Systems
• Exactly solved BPS wall and winding number in N=1 Supergravity

Cited by in corpus (6)

• Deformation of Curved BPS Domain Walls and Supersymmetric Flows on 2d Kähler-Ricci Soliton
• Some Aspects of Spherical Symmetric Extremal Dyonic Black Holes in 4d N=1 Supergravity
• Flat BPS Domain Walls on 2d Kähler-Ricci Soliton
• N=1 Supergravity BPS Domain Walls on Kähler-Ricci Soliton
• Kaehler-Ricci Flow, Morse Theory, and Vacuum Structure Deformation of N=1 Supersymmetry in Four Dimensions
• Deformation of Dyonic Black Holes and Vacuum Geometries in Four Dimensional N=1 Supergravity